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The given functions will be straight line graph as shown below
What are piecewise functionsPiecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.
The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;
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Related Questions
The function R(x) = -0.0065x² +0.23x + 8.47 models the American marriage rate R (the
number of marriages per 100 population) x years after 1960. Based on this function, in what
year was the marriage rate the highest? (Hint: The vertex of a parabola is the maximum or
minimum.)
please help
Answers
Given:
The American marriage rate R, x years after 1960 is defined by the function
[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]
To find:
The year in which the marriage rate is the highest.
Solution:
We have,
[tex]R(x)=-0.0065x^2 +0.23x + 8.47[/tex]
It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
[tex]Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
In the given function,
[tex]a=-0.0065,b=0.23,c=8.47[/tex]
Now, x-coordinate of vertex is
[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}[/tex]
[tex]-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}[/tex]
[tex]-\dfrac{b}{2a}\approx 17.69[/tex]
It means the marriage rate is highest after 17 years of 1960.
[tex]1960+17=1977[/tex]
Therefore, the marriage rate is highest in year 1977.
Factor -4 out of -8d + 20.
The factored expression is
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I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
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Answer:
it is corect
Step-by-step explanation:
PLEASE HELP I WILL MARK AND 5 STARS SOLVE AND EXPLAIN THANKS
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Given the expressions: 5x+2(x-4) and 7x-8 first prove that they are both equivalent and explain why your method proves this.
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5x + 2x - 8
Combine lick terms
7x -8
They are equal
cordenadas cartesianas
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PLEASEEEE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answers
Answer:distributive
Step-by-step explanation:
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
Which describes the motion of the box based on the resulting free-body diagram?
A. It is moving up with a net force of 20 N.
B. It is moving to the right with a net force of 10 N.
C. It is in dynamic equilibrium with a net force of 0 N.
D. It is in static equilibrium with a net force of 0 N.
Answers
Answer:
It is in static equilibrium
Explanation:
edge 2021
The box is in static equilibrium, with a net force of 0 N.
Option D is the correct answer.
What is static equilibrium?Static equilibrium refers to a state of balance where an object is at rest and has no acceleration.
In other words, the object is not moving and is not being subjected to any external forces that would cause it to move.
We have,
The box is at rest and is not moving.
This means that the net force acting on the box is zero.
From the free-body diagram,
We know that there is a force, Ft, acting on the box, and there is an equal and opposite force, Fg, due to gravity.
Since the box is not moving, the force of friction, Ff, must also be present to balance the force of the pull.
So,
The box is in static equilibrium, with a net force of 0 N.
Thus,
The box is in static equilibrium, with a net force of 0 N.
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Helpp pls I tired to solve it out but I can’t get it
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does anyone know this.
i will give brainliest
Answers
Answer:
4.1 x 10^8
Step-by-step explanation:
Answer:
The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answers
Answer:
A) 2
B) 71
c) 4
D)42
Step-by-step explanation:
Draw the Venn diagram starting from the intersection of all
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?
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Answer:
4 weeks
Step-by-step explanation:
what is the proportion?
Answers
Answer:
a part, share, or number considered in comparative relation to a whole.
Step-by-step explanation:
i searched it up on google cause i'm dumb
Can somebody plz correct me and answer number 35-36
WILL MARK BRAINLIEST
Answers
36 is equal to
Answer:
35)The way to solve this is by making the decimal a fraction, 6tenths equals 6/10.
Now we find a common denominator,lets use 30.
multiply the 6/10 by 3 to get 18/30
multiply 2/3 by 10 to get 20/30
2/3 is greater than 0.6
Step-by-step explanation:
Simplify 10cm:30cm
Simplify 2cm:1m
Answers
Step-by-step explanation:
Simplest form=10/30=1/3
=1cm:3cm
Simplest form=2cm:1m
1m=100cm
2:100
2/100=1/50
1cm:50cm
Answer:
Simplest form=10/30=1/3
=1cm:3cm
Step-by-step explanation:
hey!!! So the photo is side ways sorry bout that but I reallyyy need some help
Answers
Answer:
Step-by-step explanation:
What type math is this?
At the city museum, child admission is $5.20 and adult admission is $9.50. On Friday,133 tickets were sold for a total sales of $928.10. How many adult tickets were sold that day?
Answers
Answer:
55 adult tickets were sold on Friday.
Step-by-step explanation:
A linear system will be used to model the system.
Let c be the number of child tickets and a be the number of adult tickets
Then according to given statements
[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]
From equation 1
[tex]a = 133-c[/tex]
Putting this in equation 2
[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]
Putting c = 78 in equation 1
[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]
Hence,
55 adult tickets were sold on Friday.
Read the problems and and write the word that indicates an equation or inequality and decide whether an equation or inequality is indicated Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift certificate amount? Word/phrase?_________ Equation/Inequality_______
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Answer:
Word/phrase : Equation
Equation:4x + 2 = $30
He can afford to buy 7 books without spending more than his gift certificate amount
Step-by-step explanation:
Step 1
We find the equation
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.
Hence,
$4 × x + $2 = $30
Where x = number of books that he can buy
4x + 2 = $30
Step 2
We solve for x
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Hence, Brett can buy 7 books
Equation: 4x + 2 = $30
Word/phrase : Equation
He can afford to buy 7 books without spending more than his gift certificate amount
Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the second cyclist bike in 45 minutes?
Answers
9514 1404 393
Answer:
9 +3/4b
Step-by-step explanation:
The speed of the second cyclist is b more than 12 miles per hour, so is ...
2nd cyclist speed = b + 12
The time of interest is 45 minutes = (45/60) hours = 3/4 hours.
The distance the second cyclist travels in 3/4 hour is ...
distance = speed × time
distance = (b +12)(3/4)
distance = 3/4b +9 . . . miles
what is the y-intercept of this table? i dont understand it please help thank you.
Answers
Answer:
-0.4
Step-by-step explanation:
you just take 2 of them to find it
A recipe states that 5 servings of peanuts have 1,250 calories. How many servings is 375 calories of peanuts? *
Answers
375/250 = 1.5 servings
Answer:
500 calories
Step-by-step explanation:
divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories
how to write this numbers in word 76.68
Answers
Answer:
seventy-six and sixty-eight hundreths
Step-by-step explanation:
Answer:
seventy six point sixty eight
Step-by-step explanation:
Tbh it depends on the person, but this is how I would say it out loud.
i need help plz ill give brainliest
Answers
Answer:
The answer is D
Step-by-step explanation:
Hope this helps! Please mark brainliest
What's the slope of this line
Answers
Answer:
slope= 1/2x-3
Step-by-step explanation:
Rise / run + the y intercept
I need help!!!!
Write an equation of the line that passes through the points.
(0, −2), (4, −2)
Answers
First you need to find the slope: (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0. So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.
(GRADE7MATH) Can somebody plz answer all the questions correctly and show ur answer..thanks!!
(Only if u done this before)
WILL MARK BRAINLIEST) :D
Answers
Answer:
7. 28
8. -40
9. 36
10. -18
11. -32
12. -49
13. -33
14. 30
Step-by-step explanation:
Multiply as normal. If the signs are different, the product is negative. If the signs are the same, the product is positive.
Answer:
7. 28
8. -40
9. 36
10. -18
11. -32
12. -49
13. -33
14. 30
Step-by-step explanation:
+ × + = +
+ × - = -
- × - = +
- × + = -
The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee
Answers
Answer:
1/5x
Step-by-step explanation:
Got it right on Edge
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
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Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
I don't understand proportional relationship can u help?
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Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D
What is the value of x in the equation –2.4x = 8.4? –20.16 –3.5 3.5 20.16
Answers
Answer:
-3.5
Step-by-step explanation:
Answer:
B
Step-by-step explanation: